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Finding the Fourth Proportional to 2,634.71, 3,952.37 and 1,173.68

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Solution

The fourth proportional to 2,634.71, 3,952.37 and 1,173.68 is: 1,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.71 : 3,952.37 = 1,173.68 : x
  2. Step 2: Convert to fraction form
    2,634.71/3,952.37 = 1,173.68/x
  3. Step 3: Cross multiply
    2,634.71x = 3,952.37 × 1,173.68
  4. Step 4: Simplify right side
    2,634.71x = 4,638,791.99
  5. Step 5: Solve for x
    x = 4,638,791.99/2,634.71
  6. Step 6: Final answer
    x = 1,760.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.